AI & Computingarticle2026-09-06

A Serre-type theorem for Krull domains

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Abstract

In this paper we show that an integral domain $D$ is a Krull domain if and only if $D$ is a Mori domain, $D$ satisfies Serre's condition $(R_1)$ and every associated prime of a principal ideal has height one.

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View paper (DOI)Open access versionOpenAlexInternational Electronic Journal of AlgebraPublished 2026-09-06

Authors: Parviz Sahandi, N. Shirmohammadi

Institutions: University of Tabriz